Atkin-Lehner |
41+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112627a |
Isogeny class |
Conductor |
112627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-318256984147 = -1 · 416 · 67 |
Discriminant |
Eigenvalues |
2 2 2 2 4 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20732,-1142411] |
[a1,a2,a3,a4,a6] |
Generators |
[7911543782568653053455948344652154401305418:572598982413374804960440229636211403545997963:1508924219026983960432523262846774616648] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
25.864114029355 |
L(r)(E,1)/r! |
Ω |
0.19892945838823 |
Real period |
R |
65.008255285345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67a1 |
Quadratic twists by: 41 |